Problem $5-16($Algo$)$ Comprehensive Problem$-$Weighted$-$Average Method $[$L$05-2,$ LO$5-3,$ LO$5-4,$ LO$5-5]$

Builder Products, Incopporated, uses the weighted$-$average method in its process costing system. It manufactures a caulking compound that goes through three processing stages prior to completion. Information on work in the first department, Cooking, is given below for May:

$\backslash$table$[[$Production data:,$],[$Pounds in process, May $1$; materials $100\%$ complete;,$],[$conversion $90\%$ complete,$86,000],[$Pounds started into production during May,$510,000],[$Pounds completed and transferred out,?$],[$Pounds in process, May $31$ ; materials $70\%$ complete;,$],[$conversion $30\%$ complete,$55,000],[$Cost data:,$],[$Work in process inventory, May $1$:$,$$$98,200$